Suppose that (x, y) E (A \ B) × C, for sets A, B,C C S. Then a E A and r¢ B, and y E C. This implies that z E A and yE C, and z B and y E C.L.e. (2, y) E Ax C. and (r, y) B x C. Therefore (r, y) E (A x C) \ (B × C). This proves that (A \ B) x CC (Ax C)\ (B x C). O True O False

Q: -8 -2 -9 6 4 4 0 4 w is in Col A. Is w in Nul A? Let A = 8 and w= 27 -2 Determine if

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Q: 3+2i Evaluate 4-i

A: The given complex number is 3+2i4-i. The conjugate of the denominator is 4+i.

Q: me Ik Pi p then

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Q: If a+b c +d 4 [c- d с —d а — Ь 10 2 | find a, b, c, and d. If

A: Concept used: If two matrix are equal then their order and corresponding element are identical.…

Q: given A={x I x2 - 1 = 0 }, B = {x I x2 + x - 2 = 0}, and C = {x I x3-x2=0} A, B, C Ⅽ R a. A U ( B ∩…

A: A=x:x2-1=0B=x:x2+x-2=0C=x:x3-x2=0 Then we have to evaluate A∪B∩C.

Q: If A and B are independent, and the P(A) = 0.35 and P(B) = 0.45 find: a) P(A ∩ B)…

A: Given that P(A) = 0.35 P(B) = 0.45 A, B are independent events.

Q: If n(A) = 29, n(B) = 24, n(C) = 23, n(AN B) = 8, n(ANG) = 9, n(BNG) = 6, and n(A U BUC) = 56, find…

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Q: Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} α1. Find…

A: Since you have given two different questions therefore we will solve the first for you. IF you want…

Q: a 1 3 1. Suppose ū = -5 = Find a and b if 2ū – 30+5u = and w = %3D %3D 6 – b 2

A: The addition or subtraction of two matrices is possible if the dimension of the matrices is the…

Q: If P={a,d,e} , and R={ t,b,c} what is PUR

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Q: d. e. the angle between vectors AB and AC the direction cosines of AC

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Q: If R = {(r, y) E R × R: r- y =0}. Then list of all members of [4] is: Select one: O a. none of these…

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Q: Can you find a,b,c, and d (if exists) such that AB = BA.

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Q: Which of the following statements are correct if y, = 2x, Vi = 1,2,.,n? A. -2x В. у - 4х C. s -2s…

A: 8. Given statement yi=2xi Consider, E(Y)=E(2x)        =2E(X)     y¯=2x¯ V(Y)=V(2x)        =4V(X)…

Q: 2), Compute SE. di where Fュく-,) C is s shown

A: The general form of a vector valued function in three dimensions is given by F→=F1,F2, where F1 and…

Q: | − x + 2| − 3 ≤4

A: Given  -x+2-3 ≤ 4 We have to find the values of x.

Q: 3 4] 2 and ||A||, = 17 , then k= -2 k. If A = ||k|+1 1 -1 Select one: а. 11 b. 14, -14 С. 11, -11 d.…

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Q: Given: -3 -5 -1 4 3 3 C= 2 4 - 1 D= -5 -6 A= 5 1 B= -3 4 2 -4 -5 -2 0 Compute AC - BD. O -43 34 -7 -…

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Q: Given that v = ⟨0, –2⟩ and w = ⟨5, –8⟩, what is w – v?

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Q: If A+B=X and A-B=Y then...?

A: System of linear equations,

Q: Q.1) Evaluate IT ycos(ry) dzdy 0.

A: We will find the double integral as following.

Q: 6. For A, B, subscts of R, define A+B= {a+b:a€ A, bE B} and A B= (ab:a € A,bE B} (a) For A=…

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Q: 6. If -2 determine all values of x and y for which A= A.

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Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} a1.…

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Q: ах (bxc) - о then...

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Q: Let U = {x | x is the name of one of the months in a year} J = {x | x  U and x begins with the…

A: Given that U = {x | x is the name of one of the months in a year} J = {x | x U and x begins with the…

Q: Suppose that P(A) = 0.4, P(B) = 0.3 and PAUB)-042, then a. A and B are dependent b. none of the…

A: We have to find out correct answer...

Q: 11. If an+1 = 2an + 3 and ao = 1, then az = %3D 509 O 513 O 487 O 496

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Q: 6. Given i [2, – 5Jand i [- 7,2] find C.

A: Given v→=[-7,2]We know that magnitude of vector [a,b] is a2+b2

Q: 3. Show by an example that the following statements are false. i. a - (b c) = (a - b) (a - c) for…

A: ( i )  a - (b • c) = ( a - b ) • (a - c )  fo all a , b , c belongs to real number R   We show that…

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A: Product of two sets

Q: If A is m x n and B is n x m and AB I then the rank of A is

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Q: -1 3 4 2 2 and s = 29 17 Let u = 0 6 3 1 3 4 18 60 s can be written as a linear combination of u,v…

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Q: 1. If (x+y)-x²+y´ , which of the following statements must also be true? 1. x=0 I, (x-y)? -x²+y?…

A: Given (x+y)2=x2+y2 Expanding the identity,  x2+y2+2xy=x2+y22xy=0xy=0 ...(1) Hence (III) is true

Q: If X= { a, b, c, d } and Y = { f, b, d, g},      find. (i) X – Y           (ii) Y – X          (iii)…

A: The given sets are

Q: Let A. B C+ Then b.1 AnB c A Ond An B CR

A: Note:- in given problem some points are missing you don't define any relation between R and A, B.…